Answer:
√5 is irrational
Step-by-step explanation:
A rational number is one that can be written exactly as an integer or ratio of integers. Written as a decimal number, it will have a finite number of digits, or a repeating decimal fraction.
<h3>Application</h3>
Usually, a number that can <em>only</em> be expressed <em>exactly</em> using a <em>symbol</em> will be irrational. For square roots, any root of an integer other than a perfect square will be irrational.
The integer 5 is not a perfect square. It is between the squares 2²=4 and 3²=9. The square root of 5 is irrational.
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<em>Additional comment</em>
A reduced fraction whose denominator has factors other than 2 or 5 will translate to a repeating decimal. The number of repeating digits may be as many as 1 less than the denominator. For example, 1/19 has an 18-digit repeating decimal equivalent.
Answer:
See Below
Step-by-step explanation:
First, isolate x. To do that add 3.5 to each side
x - 3.5 = -3.1
+3.5 +3.5
x= 0.4
Answer:
Step-by-step explanation:
1. Approach,
For this problem, the format of a line that will be used is, slope-intercept form;
Where (
) is the slope of the line, also known as the change in the line and 
is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.
2. Finding the equation,
In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.
Substitute in the slope,
Substitute in the point,
Simplify,
Inverse operations,
3. Putting it all together,
Now, that one has y-intercept, (
); use the given slope and the formula , substitute in all the information.
And your answer will be: m=3
1/5 + 3/10
= 2/10 + 3/10
= 5/10
= 1/2
